具有非局部条件的脉冲分数阶半线性时滞微分方程的近似能控性与最优控制
Approximate controllability and optimal control of impulsive fractional semilinear delay differential equations with non-local conditions
摘要:
本文研究了具有非局部条件的脉冲分数阶半线性时滞微分方程的逼近能控性和最优控制的存在性。我们利用Sadovskii的不动点定理、线性算子的半群理论和极小化泛函的直接法来建立我们的结果。最后,我们给出了一个例子来说明我们的分析结果。
英文摘要:
In this paper we study the approximate controllability and existence of optimal control of impulsive fractional semilinear delay differential equations with non-local conditions. We use Sadovskii's fixed point theorem, semigroup theory of linear operators and direct method for minimizing a functional to establish our results. At the end we give an example to illustrate our analytical findings.
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